By use of technology, we investigated Mary’s investment and created the model, M(x) = 3.03(1.28)2x, in thousands of dollars. What was Mary’s initial investment?

Answers

Answer 1

Answer: In this item, we are given with the exponential equation that predicts the amount that Mary is able to obtain through her initial investment. The characters are well identifiable. 3.03 is the initial investment, 28% is the rate and x is the number of years. Thus, the answer is 3.03.

Answer 2

Answer:

Answer: Mary’s initial investment = $,3030

Step-by-step explanation:

Given: By use of technology, we investigated Mary’s investment and created the model, $M(x) = 3.03(1.28)^(2x)$

To find the initial investment, we substitute x =0, we get

$M(0) = 3.03(1.28)^(2(0))=3.03\text{ thousands of dollars}\n\n=3.03*1000=\$3,030$

Hence, Mary’s initial investment = $,3030

Related Questions

What is the y-intercept of the function: f(x)=x+4
What are the domain and range of the relation given in the table?
A hat costs $25. Tax is 8%. How much is the tax on the hat?
Does anybody know the answer. 51 - 3 + 5k = 58
2/3 of a some of money is 48p. What is 5/8 of the sum of money?

What is 5.72x10^3 in standard form

Answers

Answer:

0.00572

Step-by-step explanation:

pretty sure thats the answer

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

This answer will get deleted...but I do not have time to post the work on this one..

m= 3/5

b=-33/5

$y= (3)/(5) x+- (33)/(5)$

Thus, your equation.

Lets first find the slope:
(y₂-y₁)=m(x₂-x₁)
(-9-(-3)) = m(-4-6)
-6 = m(-10)
Isolate m:
$(-6)/(-10)$ = $(m(-10))/(-10)$
-10 and -10 cancels out
$(-6)/(-10)$ = m
$(3)/(5)$ = m

Now we know the slope, which is $(3)/(5)$

The equations is
y = mx + c
Take any two coordinates from the given above

Im taking (6,-3)
Plug in those coordinates and the slope to the formula

-3 = $(3)/(5)$ (6) + c
-3 = $(18)/(5)$ + c
Isolate c
-3 - $(18)/(5)$ = c
$- (33)/(5)$ = c
which gives us:
-6.6 = c

Now plug in the slope and c in the equation:

y = $(3)/(5)$ x+ (-6.6)
or
y = $(3)/(5)$ x +(- $(33)/(5)$ )

Determine if the following lines are parallel, perpendicular, or neither. y=x-8 x+y=-5

Answers

Answer:

To determine if two lines are parallel or perpendicular, we need to examine their slopes.

First, let's rearrange the second equation, x+y=-5, to slope-intercept form (y = mx + b):

y = -x - 5

In this form, we can see that the slope of the second line is -1.

The first equation, y=x-8, is already in slope-intercept form, y = mx + b, where the slope is 1.

Comparing the slopes, we can see that the slopes of the two lines are different. The slope of the first line is 1, and the slope of the second line is -1.

Since the slopes are not equal, the lines are not parallel.

Now, let's determine if the lines are perpendicular:

Two lines are perpendicular if the product of their slopes is -1.

The slope of the first line is 1, and the slope of the second line is -1.

Since 1 * -1 = -1, the product of the slopes is -1.

Therefore, the lines y = x - 8 and x + y = -5 are perpendicular.

Step-by-step explanation:

Answer: Perpendicular

Step-by-step explanation:

Our task is to identify if these lines are parallel or not. The lines are :

$\rm{y=x-8}$
$\rm{x+y=-5}$

A good move would be to write these two equations in the same format. The easiest one is slope-intercept. Equation 1 is already in this form, but the second one isn't.

To write the second equation in slope-intercept, all we need to do is subtract x from both sides, and we get:

$\rm{y=-5-x}$

Now, switch the terms:

$\rm{y=-x-5}$

The slope of the first line is 1, and the slope of the second line is -1.

They can't be parallel, since their slopes are not the same. For them to be perpendicular, their slopes should be negative reciprocals of each other.

Is -1 the negative inverse of 1? Yes.

∴ The lines are perpendicular.

Jason is saving up for a skateboard and helmet. The skateboard is 45.50 with tax and the helmet is 18.25 with tax. He earned 1/3 of the money by mowing lawns and the rest by babysitting. How much did jason earn with babysitting

Answers

Answer:

2/3 of the money, $42.50

Step-by-step explanation:

The total Jason is saving is ...

$45.50 +18.25 = $63.75

If 1/3 was earned by mowing, the remaining 2/3 was earned by babysitting. Two thirds of the amount is ...

(2/3) × $63.75 = $42.50

Jason earned $42.50 by babysitting.

For all pairs of real numbers M and V where M = 3V + 6, V = ?

Answers

$M = 3V + 6 \ \ | (-6)\n \nM-6=3V+6-6 \n \nM-6 =3V \ \ /:3 \n \nV=(M )/(3)-(6)/(3) \n \nV=(M)/(3 )- 2$

Can 39/121 be simplified and if so what is it??

Answers

Hi there!

Unfortunately, the beautiful fraction you've given us is simplified enough, and it cannot go any lower than what it is. So basically, you're left with $(39)/(121)$

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

Other Questions

You deposited $500 into a bank account that has an annual compound interest rate of 3.5%. How much money will be in the account after 3 years?

A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet, what is the probability that all 4 students selected are undergraduate students? A. 0.0256 B. 0.0625 C. 0.16 D. 100

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet. What is the area of the backyard?

What is the slope (1,7), (10,1)